Dmitri V. Vassilevich, “Heat Trace Asymptotics on Noncommutative Spaces”, SIGMA, 2007, Volume 3,093, 11 pp.

This article is cited in 10 papers

Heat Trace Asymptotics on Noncommutative Spaces

Dmitri V. Vassilevich^ab

^a Instituto de Física, Universidade de São Paulo, Caixa Postal 66318 CEP 05315-970, São Paulo, S.P., Brazil
^b V. A. Fock Institute of Physics, St. Petersburg University, Russia

Abstract: This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are also considered.

Keywords: heat trace asymptotics; noncommutative field theory.

MSC: 81T75; 58B34

Received: August 30, 2007; Published online September 25, 2007

Language: English

DOI: 10.3842/SIGMA.2007.093